Effect of Shape on Uniform Flow through Smooth Rectangular Open Channels
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Volume 123, Issue 7
Abstract
Available experimental data on friction in smooth rectangular channels were analyzed by a researcher and arrived at the relationship = 2 log − 0.8, where R= 4VR/v and f′=fΨp(P/R) for channels and f′=f for smooth pipes. Ψp(P/R) is a shape parameter. Values of P/R when b/y< 2 were indicated by an asterisk, and a relationship was obtained between P/R and Ψp(P/R). Two researchers analyzed the same data that were used by another researcher and concluded that two functions Ψ1(P/b) = and Ψ2(b/y) are required to reflect the shape parameter. However, they combined and obtained ΨK=Ψ1/Ψ2=f/f′. Ψ2(b/y) was calculated and plotted against b/y. They noted that ΨK≡ 1/Ψp, but maintained that there is no good relationship between Ψp and P/R. In the present study, it is shown that based on the curve, the equation connecting Ψp(P/R) and P/R could be obtained, which fits the curve within 1% error. A plot P/R versus Ψp(P/R) is given for ready use.
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Copyright © 1997 American Society of Civil Engineers.
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Published online: Jul 1, 1997
Published in print: Jul 1997
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